Logically, no good can be inferior for any consumer at all income levels. It is only possible to decrease the consumption of some good if, at lower income levels, it was a normal good, otherwise it would never have been purchased at all.

The curve to the right shows the path of utility maximizing bundles for some consumer as her income increases. This curve is known as an income expansion path. For this consumer TD is normal at very low income levels, but becomes inferior as her income increases.

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